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Finding the Fourth Proportional to 1,207.47, 1,666.39 and 676.41

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Solution

The fourth proportional to 1,207.47, 1,666.39 and 676.41 is: 933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.47 : 1,666.39 = 676.41 : x
  2. Step 2: Convert to fraction form
    1,207.47/1,666.39 = 676.41/x
  3. Step 3: Cross multiply
    1,207.47x = 1,666.39 × 676.41
  4. Step 4: Simplify right side
    1,207.47x = 1,127,162.86
  5. Step 5: Solve for x
    x = 1,127,162.86/1,207.47
  6. Step 6: Final answer
    x = 933.49

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.